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Finding the Fourth Proportional to 683.99, 944.15 and 536.66

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Solution

The fourth proportional to 683.99, 944.15 and 536.66 is: 740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.99 : 944.15 = 536.66 : x
  2. Step 2: Convert to fraction form
    683.99/944.15 = 536.66/x
  3. Step 3: Cross multiply
    683.99x = 944.15 × 536.66
  4. Step 4: Simplify right side
    683.99x = 506,680.13
  5. Step 5: Solve for x
    x = 506,680.13/683.99
  6. Step 6: Final answer
    x = 740.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.